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Matematicheskie Zametki, 1996, Volume 59, Issue 2, Pages 284–290
DOI: https://doi.org/10.4213/mzm1715 (Mi mzm1715) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A property of conformal infinitesimal deformations of multidimensional surfaces in Riemannian space

V. T. Fomenko

Taganrog State Pedagogical Institute
Full-text PDF (158 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm1715
Abstract: It is proved that conformal infinitesimal deformations of a surface Fk in Riemannian space, and they only, are areally recurrent infinitesimal deformations. All areally recurrent deformations of the hypersphere Sn−1 in En are described.
Received: 30.06.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 2, Pages 201–204
DOI: https://doi.org/10.1007/BF02310961
Bibliographic databases:
UDC: 514.7
Language: Russian
Citation: V. T. Fomenko, “A property of conformal infinitesimal deformations of multidimensional surfaces in Riemannian space”, Mat. Zametki, 59:2 (1996), 284–290; Math. Notes, 59:2 (1996), 201–204
Citation in format AMSBIB
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\pages 201--204
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  • https://doi.org/10.4213/mzm1715
  • https://www.mathnet.ru/eng/mzm/v59/i2/p284
    • This publication is cited in the following 1 articles:
    1. J. R. Arteaga Bejarano, M. A. Malakhaltsev, “Infinitesimal Ricci flows of minimal surfaces in the three-dimensional Euclidean space”, Russian Math. (Iz. VUZ), 51:10 (2007), 29–38  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Abstract page:341
    Full-text PDF :219
    References:65
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